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A329986
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Decimal expansion of the solution of 1/x + 1/2^x = 1.
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3
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1, 5, 2, 9, 8, 0, 8, 3, 8, 2, 7, 5, 9, 0, 8, 4, 3, 6, 2, 2, 1, 5, 7, 6, 0, 7, 5, 7, 6, 9, 9, 0, 0, 9, 5, 1, 1, 6, 8, 9, 4, 4, 1, 7, 8, 0, 8, 6, 0, 0, 6, 3, 0, 5, 3, 2, 4, 9, 2, 7, 9, 2, 9, 1, 0, 4, 0, 6, 7, 7, 4, 9, 2, 5, 7, 3, 3, 6, 8, 9, 2, 2, 5, 4, 2, 4
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OFFSET
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1,2
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LINKS
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FORMULA
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x + 2^x = x * 2^x.
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EXAMPLE
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x = 1.5298083827590843622157607576990...
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MATHEMATICA
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r = x /. FindRoot[1/x + 1/2^x == 1, {x, 1, 10}, WorkingPrecision -> 210]
Plot[1/x + 1/2^x - 1, {x, 1, 2}]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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